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Finding the Third Proportional to 601,812 and 892,765

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Solution

The third proportional to 601,812 and 892,765 is: 1,324,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,812 : 892,765 = 892,765 : x
  2. Step 2: Convert to fraction form
    601,812/892,765 = 892,765/x
  3. Step 3: Cross multiply
    601,812x = 892,765 × 892,765
  4. Step 4: Simplify right side
    601,812x = 797,029,345,225
  5. Step 5: Solve for x
    x = 797,029,345,225/601,812
  6. Step 6: Final answer
    x = 1,324,382.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.